468630 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 120960.

The previous prime is 468623. The next prime is 468641. The reversal of 468630 is 36864.

It is a super-2 number, since 2×468630² = 439228153800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468594 and 468603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3627 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁴⁶⁸⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

468630 is an abundant number, since it is smaller than the sum of its proper divisors (789354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468630 is a wasteful number, since it uses less digits than its factorization.

468630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 468630 is about 684.5655556629. The cubic root of 468630 is about 77.6741833204.

The spelling of 468630 in words is "four hundred sixty-eight thousand, six hundred thirty".